In this paper, a control design for the the Pseudo Boost PFC converter with the application in the charger for electric vehicles, is formulated and verified. The rectifier ends up being energy efficient because due to containing smaller number of switches. The converter is controlled using a method involving the minimum Lyapunov function derivative and a hysteresis. This control provides an averaged value of the converter sine input current, and thus, decreasing the THD value. Theoretical results are complemented with the corresponding simulations and experimental waveforms.

In this brief, the behaviors of the Ćuk converter operating in discontinuous conduction modes (DCMs) under a hysteresis controlled switching are studied. The hysteresis switching is defined in terms of values of a common quadratic Lyapunov function and Lyapunov stability conditions are established for all possible switchings, which represent a DCM of operation. A set of simulation results are provided to illustrate the converter's behaviors when the hysteresis switching control results in discontinuous modes of operation.